Nilpotent Group-Counterexamples to Zilbers Conjecture
Logic
2022-01-10 v2
Abstract
We construct uncountably categorical 3-nilpotent groups of exponent p > 3. They are not one-based and do not allow the interpretation of an infinite field. Therefore they are counterexamples to Zilbers Conjecture. First 2-nilpotent new uncoutably categorical groups were contructed in [3]. Here we use the method of the additive Collapse developed in [5]. Essentially we work with 3-nilpotent graded Lie algebras over the field with p elements.
Keywords
Cite
@article{arxiv.1905.01600,
title = {Nilpotent Group-Counterexamples to Zilbers Conjecture},
author = {Andreas Baudisch},
journal= {arXiv preprint arXiv:1905.01600},
year = {2022}
}